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Finding the Fourth Proportional to 11,700.57, 16,146.05 and 6,664.70

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Solution

The fourth proportional to 11,700.57, 16,146.05 and 6,664.70 is: 9,196.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,700.57 : 16,146.05 = 6,664.70 : x
  2. Step 2: Convert to fraction form
    11,700.57/16,146.05 = 6,664.70/x
  3. Step 3: Cross multiply
    11,700.57x = 16,146.05 × 6,664.70
  4. Step 4: Simplify right side
    11,700.57x = 107,608,586.48
  5. Step 5: Solve for x
    x = 107,608,586.48/11,700.57
  6. Step 6: Final answer
    x = 9,196.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.